All categories

3 years ago

Michael is running for president. The proportion of voters who favor Michael is 0.8. A random sample of 100 voters is taken.

Mathematics

1 answer:

Anton [14]3 years ago

5 0

Answer:

Michael is running for president. The proportion of voters who favor him is 0.3. A simple random sample of 100 voters is taken.

What is the expected value :: n*p = 100*0.8 = 80

standard deviation:: sqrt(n*p*q) = sqrt(80*0.2) = 16

where q is proportion of voters who do not favor Michael. (q=0.2)

and shape of the sampling distribution is binomial distribution which is approximately a bell shaped.

-------------------------

what is the probability that the number of voters in the sample who will not favor Michael will be more than 16

P(X < 16.0) = P((x - 20) / 4.0) < (16.0 - 20) / 4.0) = P(Z < -1.00) = .1587

P(X > 16.0) = 1 - 0.1587 = 0.8413

You might be interested in

The equation of line L, is y = 5x + 1

Lynna [10]

Answer:

see explanation

Step-by-step explanation:

Parallel lines have equal slopes.

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 5x + 1 ← is in slope- intercept form

with slope m = 5

Rearrange 2y - 10x + 3 = 0 into this form

Add 10x to both sides

2y = 10x ( subtract 3 from both sides )

2y = 10x - 3 ( divide all terms by 2 )

y = 5x - $\frac{3}{2}$ ← in slope- intercept form

with slope m = 5

Since both lines have a slope of 5 then they are parallel.

4 0

3 years ago

How can you determine if a fraction is greater than less than or equal to a decimal

saul85 [17]

Change the fraction into a decimal

3 0

3 years ago

Expanding Logarithmic Expressions In Exercise, use the properties of logarithms to rewrite the expression as a sum, difference,

Leya [2.2K]

Answer: $\dfrac{1}{3}[\ln (x+1)+\ln(x-1)]$

Step-by-step explanation:

Properties of logarithm :

$\log (ab)= \log a+\log b$
$\log(\dfrac{a}{b})=\log a-\log b$
$\log a^n= n\log a$

The given expression in terms of Natural log : $\ln (x^2 - 1)^{\frac{1}{3}}$

This will become $\dfrac{1}{3}\ln (x^2 - 1)$ [ By using Property (3)]

$=\dfrac{1}{3}\ln (x^2-1^2)$

$=\dfrac{1}{3}\ln ((x+1)(x-1))$ [ $\because a^2-b^2=(a+b)(a-b)$ ]

$=\dfrac{1}{3}[\ln (x+1)+\ln(x-1)]$ [ By using Property (1)]

Hence, the simplified expression becomes $\dfrac{1}{3}[\ln (x+1)+\ln(x-1)]$ .

5 0

3 years ago

*EXTRA PTS* name the relationship between the pair of angles

Harrizon [31]

I’m assuming there is a picture you are missing.

4 0

2 years ago

Read 2 more answers

Is there more wood in a 60-foot-high tree trunk with a radius of 2.2 feet or in a 50-foot-high tree trunk with a radius of 2.6

Sladkaya [172]

Answer:

V₂=1061.85 ft³

Step-by-step explanation:

To determine where more wood is found, just find the volume of each log and see which one has the largest volume

knowing that the volume of a straight cylinder is

V=πR²h, where R=radius and h=height

$V_{1}=\pi (2.2)^{2}60= 912.31ft^{3}\\V_{2}=\pi (2.6)^{2}50= 1061.85ft^{3}$

As we can observe

V₂>V₁

7 0

3 years ago